step 1 9 y squared equals 1. I want to get everything to one side to equal 0. So I'm going to subtract

Question

Solve. $$ 9 y 2=1 $$

Name: Problem 46, Chapter 6: Elementary Algebra
Uploaded: 2022-02-02T19:04:16-08:00
Duration: 1 min 52 s
Channel: Sherrie Fenner
Description: Solve. 9 y 2=1

   Solve.
$$
9 y 2=1
$$

Elementary Algebra

John Redden 1st Edition

Chapter 6, Problem 46

Instant Answer

Solved by Expert Sherrie Fenner

02/02/2022

Step 1

So, we subtract 1 from both sides of the equation: $$ 9y^2 - 1 = 0 $$ Show more…

Show all steps

Thanks for your feedback!

Solve. $$ 9 y 2=1 $$

Play audio

Feedback

Sherrie Fenner and 92 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Square Root Principle

When solving equations where the variable is squared, taking the square root of both sides is a critical step. It is important to remember that the square root operation yields both positive and negative roots, which are both potential solutions to the original equation.

Algebraic Manipulation

This concept involves rearranging and simplifying equations by isolating the variable or its powers. It is a fundamental technique in algebra that enables one to transform an equation into a simpler form where the solution becomes more apparent.

Quadratic Equation Basics

Quadratic equations, which involve variables raised to the second power, are a central topic in algebra. Recognizing that an equation is quadratic allows one to apply specific methods, such as factoring, completing the square, or using the quadratic formula, after appropriate algebraic manipulation.

Please give Ace some feedback